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Finding the Fourth Proportional to 159.27, 238.93 and 56.62

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Solution

The fourth proportional to 159.27, 238.93 and 56.62 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.27 : 238.93 = 56.62 : x
  2. Step 2: Convert to fraction form
    159.27/238.93 = 56.62/x
  3. Step 3: Cross multiply
    159.27x = 238.93 × 56.62
  4. Step 4: Simplify right side
    159.27x = 13,526.74
  5. Step 5: Solve for x
    x = 13,526.74/159.27
  6. Step 6: Final answer
    x = 84.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.